Quantum Hall Effect: Current Distribution and the Role of Measurement
K. Tsemekhman, V. Tsemekhman, C. Wexler, D. J. Thouless
Abstract
Based on very general arguments we show that for any geometry of the experiment, in the regime when the measurement leads to a quantized Hall conductivity, almost the entire current injected into the sample is carried by the bulk states. The crucial role of the contacts equilibrating different edge channels is emphasized.
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